2250 meets 7:30am daily in JTB 140
Updated:
Wednesday April 30: 15:28PM, 2014
Today:
Sunday December 01: 16:35PM, 2024
Week 11: Changes made to HW, Quiz and Lab package numbering. Each package is due the next week after it is assigned. For instance, HW11 is assigned in Week 11 and due in Week 12. Week 10 was Spring Break. There is no HW10, no Quiz10, no Lab10. Syllabus, Bookmark and Due Date documents were updated to relect the numbering, which affects Weeks 11,12,13,14,15.
If you discover a mistake or bad link, then please write to the email address on the doorcard posted Here.
Tutoring in WEB 1622 is staffed every weekday: Times and Staff WEB1622
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Abbreviations: EP = Edwards-Penney, Differential Equations and Linear Algebra 3/E EPbvp = Edwards-Penney, Differential Equations and Boundary Value Problems, any edition EPH = Edwards-Penney-Haberman hybrid textbook for Utah, 2013 (the required textbook)
The book supplements are sections 3.7 and 7.6 from any edition of the 2280 book,
Edwards-Penney Boundary Value Problems, available for checkout from the math center.
Available as PDF files from Professor Korevaar [Google search "EP3.7.pdf" and "EP7.6.pdf"]:
Section 3.7 EP3.7.pdf HERE
Section 7.6 EP7.6.pdf HERE
1.2-2: This is the first homework problem. A copy is submitted for review on Jan 8 and returned ungraded, with style comments, on Jan 10; details Here
1.3-8: Print and use the graphic Here.
WEEK 1, Jan 6-10 ====== 1.1; differential equation, mathematical model. 1.2; integral as a general or particular solution. 1.3; slope field. 1.4; separable differential equation. Quiz1 Sample. Quiz1 Sample Solutions. Take-home Quiz1 and Homework HW1 due next Tuesday. Thursday Lab 1 Here. WEEK 2, Jan 13-17 ====== 1.5; linear differential equation. EPbvp 3.7; LR and RC circuits. 2.1, 2.2, 2.3; mixture model, population model, cascades, equilibrium solution, stability, acceleration-velocity models. Quiz2 Sample and Solutions with graphs Take-home Quiz2 and Homework HW2 due next Tuesday. Thursday Lab 2 Revised Here. WEEK 3, Jan 20-24 ====== Monday Holiday, Martin Luther King. No classes. 2.3; escape velocity, Jules Verne problem. 2.4, 2.5, 2.6; numerical solutions. Quiz3 Sample and Solutions Take-home Quiz3 and Homework HW3 due next Tuesday. Thursday Lab 3 Here. WEEK 4, Jan 27-31 ====== 3.1, 3.2, 3.3; linear systems, matrices, Gaussian elimination; Quiz4 Sample and Solutions Take-home Quiz4 and Homework HW4 due next Tuesday. Thursday Lab 4 Here. Study Sample Exam 1 and Sample Exam 1 Solutions for Feb 14 Midterm 1. WEEK 5, Feb 3-7 ====== 3.4; reduced row echelon form. 3.5; matrix operations, matrix inverses. 3.6; determinants. Quiz5 Sample and Solutions Take-home Quiz5 and Homework HW5 due next Tuesday. Thursday Lab 5 Here. Study Sample Exam 1 and Sample Exam 1 Solutions for next Friday, Feb 14. WEEK 6, Feb 10-14 ====== 4.1; vector spaces, linear combinations in R^n. 4.2; span and independence. 4.3; subspaces. Study Sample Exam 1 and Sample Exam 1 Solutions for Friday, Feb 14. Wednesday 4pm Exam review, blackboard photo directory Friday Midterm Exam 1 over Weeks 1, 2, 3, 4. Midterm Exam 1 Solutions Quiz6 Sample and Solutions Take-home Quiz6 and Homework HW6 due next Tuesday. Thursday Lab 6 Here.
WEEK 7, Feb 17-21 ====== Monday Holiday, President's Day. No classes. 4.4; bases and dimension. 4.7; abstract vector spaces and solution space of a DE. 5.1; second-order linear DE. Quiz7 Sample and Solutions Take-home Quiz7 due next Friday. Homework HW7 due next Tuesday. Thursday Lab 7 Here. WEEK 8, Feb 24-28 ====== 5.1, 5.2, 5.3; constant coefficients, general solutions, superposition 5.4; mechanical vibrations, phase-amplitude EPbvp 3.7; circuits. Quiz8 Sample with interleaved solutions. Take-home Quiz8 and Homework HW8 due next Tuesday. Thursday Lab 8 Here. WEEK 9, Mar 3-7 ====== 5.4; mechanical vibrations, pendulum model. 5.5; particular solutions to non-homogeneous problems. 5.6; forced oscillations, resonance and mechanical vibrations. Quiz9 Sample with interleaved solutions. Take-home Quiz9 and Homework HW9 due next the Tuesday after Spring Break. Study Sample Exam 2 and Sample Exam 2 Solution key for the next Friday after Spring Break, Mar 21. Thursday Lab 9 Here. Problem 3 was moved to extra credit. Thursday Lab 9 Extra Credit Problem due April 10. WEEK 10, Mar 8-16 is Spring Break. No classes. ======= No Lab10. No Quiz10. No HW10. WEEK 11, Mar 17-21 ======= 10.1, 10.2, 10.3; Laplace transforms, solving a DE with transforms. 7.1; Intro to systems for Laplace theory. Thursday, 20 March 4pm Exam review, blackboard photo directory Study Sample Exam 2 and Sample Exam 2 Solution key for Friday, Mar 21. Friday Exam 2 over Weeks 5, 6, 7, 8. Starts 7am. Exam 2 Solution key Quiz11 Sample with interleaved solutions. Take-home Quiz11 and Homework HW11 due next Tuesday. Thursday Lab 11 Here. [No Lab10]
WEEK 12, Mar 24-28 ======= 10.4; partial fractions, s-differentiation, shift theorem. EPbvp 7.6; impulse response. Dirac impulse approximations. 10.5; Unit step, ramp, convolution. Second shifting theorem. 6.1; eigenanalysis, eigenpairs. 7.1; intro to first-order systems of ODE. Quiz12 Sample with interleaved solutions. Take-home Quiz12 due Friday 4 April,and Homework HW12 due Tuesday 1 April. Thursday Lab 12 Here. WEEK 13, Mar 31 to Apr 4 ======= 7.1; Conversion to a first-order system of ODE. 6.2; diagonalization, Fourier's model. 6.3; power method, Cayley-Hamilton. 7.2; Matrix systems of DE 7.3; eigenanalysis method, spring systems, forced undamped systems. Quiz13 Sample questions only and Sample solutions Take-home Quiz13 due Monday after Exam 3 Homework HW13 due next Tuesday. Thursday Lab 13 Here. Study Sample Exam 3 questions for Friday 18 April. Reference Sample Exam 3 Answers WEEK 14, Apr 7-11 ======= Extra Credit Ch1-Ch5 only due Wednesday, April 9. Extra Credit Labs due Thursday, April 10. No QUIZ due this week because of the exam. 7.4; systems and practical resonance. 7.5; Laplace impact on these topics 9.1; equilibria, stability. Thursday April 10, 4pm in WEB L102, Exam 3 Review session, blackboard photo directory No Take-home Quiz this week. Homework HW14 due next Tuesday. Thursday Lab 14 Here. Study Sample Exam 3 questions for next Friday. Reference Sample Exam 3 Answers WEEK 15, Apr 14-18 ======= 9.2; phase portraits for non-linear systems. 9.3; populations and ecological models; Friday Exam 3 over Weeks 9, [Week 10=break], 11, 12, 13 (last midterm). Starts 7am. Exam 3 Questions and Solution key Study Sample Exam 3 questions and Sample Exam 3 Answers Thursday Lab 15 Here. Homework HW15 due by 6pm Wednesday 30 April under the door JWB 113. Study the Sample Final Exam Questions and Answers Study the Final Exam Study Guide WEEK 16, Apr 21-23 ======= 9.4; nonlinear mechanical systems Sample Final Exam. Covers Chapters 1-2, 3, 4, 5, 6, 7, 9, 10. Comprehensive Final Exam review. Study the Sample Final Exam Questions and Answers Study the Final Exam Study Guide WEEK 17 ======= Finals week: Comprehensive final exam, Tuesday 29 April, 7:30-10:00 a.m. in JTB 140. Homework HW15 due by 6pm, under the door 113 JWB, Wednesday 30 April. Final Exam S2014 Questions only Final Exam S2014 Questions and answers
* Simple Harmonic Oscillator - with and without damping, transfer of energy between kinetic and potential forms
* Damped Harmonic Oscillator - underdamped, overdamped, and critically damped
* Forced Harmonic Oscillator - transient and steady state response to a force applied to the mass
* The Simple Pendulum - comparing the linear approximation (small angle) with a real pendulum
* Coupled Oscillators - energy transfer between two mass-spring systems coupled together
* Dynamic Absorbers - J.P. Den Hartog's classical undamped tuned dynamic absorber
* Tacoma Narrows Bridge - (0.668 MB mpeg movie) - resonance and aerodynamic flutter, historical film 1940
Grant B. Gustafson
155 South 1400 East Room 233
Salt Lake City, UT 84112-0090
Office phone: (801) 581-6879
For email address, see class notes or click here for the doorcard.